Answer:
Option A, -15
Step-by-step explanation:
Step 1: Look at the function that needs to be outputted when x = -3
Since x = -3, that means it falls into the first category of x ≤ -3
Step 2: Carry out the instructions
The function for the first category is [tex]-x^{2} + 2x[/tex]
[tex]f(-3) =-(-3)^{2}+2(-3)[/tex]
[tex]f(-3) = -(9) - 6[/tex]
[tex]f(-3) = -15[/tex]
Answer: Option A, -15
